Does this graph show a function explain how you know

Option (C) is correct.

Step-by-step explanation:

A function f : A -> B means every element of A is mapped to a unique element of B, where A and B are non-empty sets.

Now, to check whether a graph is a function or not, there is a test called 'Vertical Line Test'.

In the test, we draw a vertical line passing through the graph. Then:

1. If the line cuts exactly at one point of the graph, then the given graph is a function.

2. If the graph cuts at more than one points, then the graph is not a function as it does not satisfy the definition a function.

Now, in the given graph, if you draw a vertical line on the right side of origin, it will cut at more than one point.

Hence, the graph fails the vertical line test and it is not a function.

So, option (C) is correct.

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step-by-step explanation: